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Behavior of the current in the asymmetric quantum multibaker map

Leonardo Ermann^1,2, Gabriel G. Carlo¹, and Marcos Saraceno^1,3

¹Departamento de Física, CNEA, Libertador 8250, C1429BNP Buenos Aires, Argentina
²Departamento de Física, FCEyN, UBA, Pabellón 1 Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
³Escuela de Ciencia y Tecnología, UNSAM, Alem 3901, B1653HIM Villa Ballester, Argentina

Phys. Rev. E 79, 056201 – Published 1 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.056201

Abstract

Recently, a new mechanism leading to purely quantum directed transport in the asymmetric multibaker map has been presented. Here, we show a comprehensive characterization of the finite asymptotic current behavior with respect to the $h$ value, the shape of the initial conditions, and the features of the spectrum. We have considered different degrees of asymmetry in these studies and we have also analyzed the classical and quantum phase-space distributions for short times in order to understand the mechanisms behind the generation of the directed current.

Article Text

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